
John M. answered 04/28/21
Math Teacher/Tutor/Engineer - Your Home, Library, MainStreet or Online
Ô Sun
. o
. o
101' . o
. o
. .......θ.. o
103'
θ =Tan-1 101/103 = 44°
Jasminw F.
asked 04/28/21A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.
John M. answered 04/28/21
Math Teacher/Tutor/Engineer - Your Home, Library, MainStreet or Online
Ô Sun
. o
. o
101' . o
. o
. .......θ.. o
103'
θ =Tan-1 101/103 = 44°
Bradford T. answered 04/28/21
Retired Engineer / Upper level math instructor
Form a right triangle with the tower, the ground and the tip of the shadow. The angle from the tip of the shadow to the top of the tower is the angle of elevation.
tan(θ) = opp/adj = 101/103
θ = tan-1(101/103) = 44.4°
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